Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Engineering
Exact And Approximate Relaxation Techniques For Computational Guidance, Sheril Avikkal Kunhippurayil
Exact And Approximate Relaxation Techniques For Computational Guidance, Sheril Avikkal Kunhippurayil
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
The focus of this dissertation is in the development and application of relaxation techniques that enable efficient and real-time solution of complex computational guidance problems. Relaxations transform a non-convex constraint into a convex constraint and provides proof that the optimal solutions to the relaxed problem are optimal for the original problem. Unique contributions of this work include: 1) a relaxation technique for solving fixed final time problems between fixed points, 2) a performance analysis on the application of computational guidance for the Mars Ascent Vehicle, and 3) establishment of sufficient conditions for non-singularity of optimal control for problems on a …
Analytic Guidance Strategies For Passively Safe Rendezvous And Proximity Operations, Simon Shuster
Analytic Guidance Strategies For Passively Safe Rendezvous And Proximity Operations, Simon Shuster
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
A safety ellipse is a type of relative motion trajectory that is commonly used for unmanned rendezvous and proximity operations. As the name suggests, safety ellipses are passively safe relative motion trajectories, which means that their natural motion inherently maintains a low collision risk. The focus of this dissertation is the derivation, analysis, and application of guidance strategies that reconfigure, establish, and exit a safety ellipse. The guidance strategies consist of a set of ∆v vectors and impulse times, all written in closed form. Through applications of optimal control theory and parameter optimization, it is shown that these maneuver …